A unit Circle is shown in the coordinate plane. An angle of 5pi/3 radians is also drawn in the unit circle.Using the diagram, determine the values of sin (5pi/3) and cos (5pi/3). Explain how you determined your answerPlease help it would be greatly appreciated

A unit Circle is shown in the coordinate plane An angle of 5pi3 radians is also drawn in the unit circleUsing the diagram determine the values of sin 5pi3 and c class=

Respuesta :

Given the angle (5pi/3 )

The given angle lies in the fourth quadrant

Which is the intersection between the ray and the unit circle

The intersection is the point :

[tex](\frac{1}{2},-\frac{\sqrt[]{3}}{2})[/tex]

Cos (5pi/3) = the x-coordinate = 1/2

sin (5pi/3) = the y-coordinate = -(√3)/2